License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ISAAC.2019.8
URN: urn:nbn:de:0030-drops-115044
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/11504/
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Flocchini, Paola ; Killick, Ryan ; Kranakis, Evangelos ; Santoro, Nicola ; Yamashita, Masafumi

Gathering and Election by Mobile Robots in a Continuous Cycle

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LIPIcs-ISAAC-2019-8.pdf (0.6 MB)

Abstract

Consider a set of n mobile computational entities, called robots, located and operating on a continuous cycle C (e.g., the perimeter of a closed region of R^2) of arbitrary length l. The robots are identical, can only see their current location, have no location awareness, and cannot communicate at a distance. In this weak setting, we study the classical problems of gathering (GATHER), requiring all robots to meet at a same location; and election (ELECT), requiring all robots to agree on a single one as the "leader". We investigate how to solve the problems depending on the amount of knowledge (exact, upper bound, none) the robots have about their number n and about the length of the cycle l. Cost of the algorithms is analyzed with respect to time and number of random bits. We establish a variety of new results specific to the continuous cycle - a geometric domain never explored before for GATHER and ELECT in a mobile robot setting; compare Monte Carlo and Las Vegas algorithms; and obtain several optimal bounds.

BibTeX - Entry

@InProceedings{flocchini_et_al:LIPIcs:2019:11504,
  author =	{Paola Flocchini and Ryan Killick and Evangelos Kranakis and Nicola Santoro and Masafumi Yamashita},
  title =	{{Gathering and Election by Mobile Robots in a Continuous Cycle}},
  booktitle =	{30th International Symposium on Algorithms and Computation (ISAAC 2019)},
  pages =	{8:1--8:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-130-6},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{149},
  editor =	{Pinyan Lu and Guochuan Zhang},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2019/11504},
  URN =		{urn:nbn:de:0030-drops-115044},
  doi =		{10.4230/LIPIcs.ISAAC.2019.8},
  annote =	{Keywords: Cycle, Election, Gathering, Las Vegas, Monte Carlo, Randomized Algorithm}
}

Keywords: Cycle, Election, Gathering, Las Vegas, Monte Carlo, Randomized Algorithm
Collection: 30th International Symposium on Algorithms and Computation (ISAAC 2019)
Issue Date: 2019
Date of publication: 28.11.2019

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